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Finding the Fourth Proportional to 6,404.14, 9,611.67 and 2,511.28

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Solution

The fourth proportional to 6,404.14, 9,611.67 and 2,511.28 is: 3,769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.14 : 9,611.67 = 2,511.28 : x
  2. Step 2: Convert to fraction form
    6,404.14/9,611.67 = 2,511.28/x
  3. Step 3: Cross multiply
    6,404.14x = 9,611.67 × 2,511.28
  4. Step 4: Simplify right side
    6,404.14x = 24,137,594.64
  5. Step 5: Solve for x
    x = 24,137,594.64/6,404.14
  6. Step 6: Final answer
    x = 3,769.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.